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Finding the Fourth Proportional to 130,611.31, 180,245.63 and 76,162.01

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Solution

The fourth proportional to 130,611.31, 180,245.63 and 76,162.01 is: 105,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,611.31 : 180,245.63 = 76,162.01 : x
  2. Step 2: Convert to fraction form
    130,611.31/180,245.63 = 76,162.01/x
  3. Step 3: Cross multiply
    130,611.31x = 180,245.63 × 76,162.01
  4. Step 4: Simplify right side
    130,611.31x = 13,727,868,763.69
  5. Step 5: Solve for x
    x = 13,727,868,763.69/130,611.31
  6. Step 6: Final answer
    x = 105,104.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.